What is the Greatest Common Factor of 46288 and 46299?

Greatest common factor (GCF) of 46288 and 46299 is 11.

GCF(46288,46299) = 11

We will now calculate the prime factors of 46288 and 46299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46288 and 46299.

How to find the GCF of 46288 and 46299?

We will first find the prime factorization of 46288 and 46299. After we will calculate the factors of 46288 and 46299 and find the biggest common factor number .

Step-1: Prime Factorization of 46288

Prime factors of 46288 are 2, 11, 263. Prime factorization of 46288 in exponential form is:

46288 = 2⁴ × 11¹ × 263¹

Step-2: Prime Factorization of 46299

Prime factors of 46299 are 3, 11, 23, 61. Prime factorization of 46299 in exponential form is:

46299 = 3¹ × 11¹ × 23¹ × 61¹

Step-3: Factors of 46288

List of positive integer factors of 46288 that divides 46288 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 263, 526, 1052, 2104, 2893, 4208, 5786, 11572, 23144

Step-4: Factors of 46299

List of positive integer factors of 46299 that divides 46288 without a remainder.

1, 3, 11, 23, 33, 61, 69, 183, 253, 671, 759, 1403, 2013, 4209, 15433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46288 and 46299. The biggest common factor number is the GCF number.
So the greatest common factor 46288 and 46299 is 11.

Also check out the Least Common Multiple of 46288 and 46299